Nonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential
Abstract
Description
We study the direct spectral transform for the heat equation, associated with the KP-2 equation. We show, that for real nonsingular exponentially decaying at infinity potentials the direct problem is nonsingular for arbitrary large potentials. Earlier this statement was proved only for potentials, satisfying the ``small norm'' assumption.
19 pages, LaTeX, 1 picture in PostScript format included in the end of the paper and 3 style files
19 pages, LaTeX, 1 picture in PostScript format included in the end of the paper and 3 style files